484479600 has 360 divisors, whose sum is σ = 1812645888. Its totient is φ = 109670400.

The previous prime is 484479553. The next prime is 484479607. The reversal of 484479600 is 6974484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484479607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3814737 + ... + 3814863.

Almost surely, 2^484479600 is an apocalyptic number.

484479600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484479600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906322944).

484479600 is an abundant number, since it is smaller than the sum of its proper divisors (1328166288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

484479600 is a wasteful number, since it uses less digits than its factorization.

484479600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 484479600 is about 22010.8973011097. The cubic root of 484479600 is about 785.4016903695.

It can be divided in two parts, 484 and 479600, that added together give a palindrome (480084).

The spelling of 484479600 in words is "four hundred eighty-four million, four hundred seventy-nine thousand, six hundred".